30 pens and 75 pencils altogether were purchased for Rs. 510. If the average price of a pencil was Rs. 2, what was the average price of a pen ?

A. Rs. 9

B. Rs. 10

C. Rs. 11

D. Rs. 12

Answer: Option D

Solution(By Examveda Team)

According to the question,
30 pens + 75 pencils = Rs. 510
Average price of a pencil = Rs. 2
Price of 75 pencils
= 2 × 75 = Rs. 150
∴ Price of 30 pens
= 510 - 150 = Rs. 360
∴ Average price of pen
= $$\frac{360}{30}$$
= Rs. 12